International Applied Mechanics

, Volume 39, Issue 8, pp 921–928 | Cite as

Deformation and Filtration Near a Well in a Porous Stratum with Linear Memory

  • T. K. Ramazanov
  • M. Kh. Gyulmamedov


The linearized equations for saturated elastic porous media and for surrounding elastic rock are solved simultaneously; and the Volterra principle is used to derive an integro-differential filtration equation for a homogeneous weakly compressible fluid in an axisymmetric stratum with linear memory and central well. An analytical expression for porosity variation is obtained and then used to determine the permeability coefficient. The solutions are analyzed for the case where the stratum exhibits memory described by regular and singular kernels of the integral operator

theory of filtration porous medium with linear memory stratum central well Volterra principle integro-differential equations porosity variation permeability coefficient 


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Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • T. K. Ramazanov
    • 1
  • M. Kh. Gyulmamedov
    • 1
  1. 1.National Academy of Sciences of AzerbaijanInstitute for Problems of Deep Oil and Gas FieldsBaku

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